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Finding the Fourth Proportional to 2,811.99, 4,217.82 and 864.18

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Solution

The fourth proportional to 2,811.99, 4,217.82 and 864.18 is: 1,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.99 : 4,217.82 = 864.18 : x
  2. Step 2: Convert to fraction form
    2,811.99/4,217.82 = 864.18/x
  3. Step 3: Cross multiply
    2,811.99x = 4,217.82 × 864.18
  4. Step 4: Simplify right side
    2,811.99x = 3,644,955.69
  5. Step 5: Solve for x
    x = 3,644,955.69/2,811.99
  6. Step 6: Final answer
    x = 1,296.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.